The volume of this right prism that has a triangular base is equal to 108 cubic meters.
<h3>The volume of a right prism.</h3>
Mathematically, the volume of a right prism is given by this formula:
V = L x W x H
<u>Where:</u>
<u>Given the following data:</u>
Length of base = 6 meters.
Width of base = 4 meters. cm.
Height of prism = 4.5 meters.
Substituting the given parameters into the formula, we have;
V = 6 x 4 x 5
V = 108 cubic meters.
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Answer: his pay for the 4th year is $1453.16
Step-by-step explanation:
The landlord raises the rent 1.25% each year. It means that the rent is increasing in geometric progression.
The formula for determining the nth term of a geometric progression is expressed as
Tn = ar^(n - 1)
Where
a represents the first term of the sequence.
r represents the common ratio.
n represents the number of terms.
From the information given,
a = $1,400
r = 1 + 1.25/100 = 1.0125
n = 4 years
The 4th term(year), T4 is
T4 = 1400 × 1.0125^(4 - 1)
T4 = 1400 × 1.0125^3
T4 = $1453.16
Simplify the expression.
Exact Form :
- 53/12
Decimal Form :
- 4.416
Mixed Number Form :
- 4 5/12
Hope this helps !
Have a great day! :)
<span>Standard deviation shows the distribution present in a set. Range can be used to approximate this property.
Therefore, Set b (100, 140, 150, 160, 200 10, 50, 60, 70, 110) has the largest standard deviation because it has a range of 190 (i.e. 200 - 10)</span>
The height of the building is 5.33m.
<h3>How to calculate the height?</h3>
The question is to calculate the height of the building.
Based on the information given, the height will be:
Madeline eye height/Distance from X = Height of building/Building distance from X
1.55/2.75 = x/9.45
x = (1.55 × 9.45)/2.75
x = 5.33 m
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